Step-by-step explanation:
Know that
The derivative of position with respect of t is velocity.
Or if you want to say
Or in the form of the definition of the derivative
Let h be a small number, so we can cancel out small things.
We know the derivative of position is velocity
So the velocity at time t is
Plug in 3 for t to find the velocity
So the velocity at t=3, is 164.
Next, the derivative of velocity is acceleration so
Divide by h.
The derivative of velocity is acceleration so
The acceleration in time t is
To find acceleration, plug in 3 for t.
